I've read it again and I think they are using the term gender as the same as sex. There's a paragraph at the end...
In other words, if we were to have hate crime in relation to gender, we would have to think carefully about whether that would apply to the entire population or just to half of it."
Given here are more than 2 genders, this makes no sense. And you can't prosecute someone if or a gender crime, if you can't know someone's gender, such as non binary. Or for those trans who don't yet 'pass' as their gender of choice.
I hope the review really does focus on misogyny as a hate crime, and maybe this will contribute to the trans debates today. The attack's in JKR for example are all hate crimes in my view, simply because she is a female sharing her views.